{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.5, 10.5, -1.0996522097742067, 1.0996611290127936)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "x = np.linspace(0, 10, 100)\n",
    "ax.plot(x, np.sin(x), '-g')\n",
    "ax.plot(x, np.sin(x-1), '--y')\n",
    "ax.plot(x, np.sin(x-2), '-.r')\n",
    "ax.axis('tight')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
